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Finding the Fourth Proportional to 6,553.24, 9,806.10 and 4,089.40

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Solution

The fourth proportional to 6,553.24, 9,806.10 and 4,089.40 is: 6,119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.24 : 9,806.10 = 4,089.40 : x
  2. Step 2: Convert to fraction form
    6,553.24/9,806.10 = 4,089.40/x
  3. Step 3: Cross multiply
    6,553.24x = 9,806.10 × 4,089.40
  4. Step 4: Simplify right side
    6,553.24x = 40,101,065.34
  5. Step 5: Solve for x
    x = 40,101,065.34/6,553.24
  6. Step 6: Final answer
    x = 6,119.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.